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3 years ago

What is t in 336= 214.2(t+3) and 336= 367.2(t)

1 answer:

3 0

For 336=214.2(t+3) you first divide each side by 214.2. You would get 80/51=t+3, then you would subtract 3 from each side to get the final answer which is -73/51

For 336=367.2(t) you divide 367.2 on both sides, to get the final answer which is 140/153.

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Which is most needed in order for groupwork technology to succeed?

ki77a [65]

The answer is D. An agreement from everyone on the collaborative team to share equally in the work load.

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2 years ago

Identify the model that shows 4 items being divided equally among 3 people. How much will each person have?

Anna11 [10]

Answer:

9 because 3 x 4 = to 9

Step-by-step explanation:

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3 years ago

3. Solve the following application of a system of linear equations.

zhuklara [117]

Answer:

Equations:

$y = 14 + 9 x$ --- Cindy

$y = 10 x$ --- Ruben

Solution to equation:

Time they have the same amount: 14 minutes

Number of cards they have at that time: 140 flashcards

Step-by-step explanation:

Solving (a): Variables and what they represent

The variables to use are x and y

Where x represent the minutes and y represents the number of flashcards in x minutes

Solving (b): System of linear equation

Cindy:

$Existing\ Flashcards = 14$

$Additional = 9$ per minute

Total number of flashcards (y) in x minutes is:

$y = Existing\ Flashcards + Additional * x$

$y = 14 + 9 * x$

$y = 14 + 9 x$

Ruben:

$Rate = 10$ per minute

Total number of flashcards (y) in x minutes is:

$y = Rate * x$

$y = 10 * x$

$y = 10 x$

Solution to Equations:

Time they have the same amount.

To do this, we $equate$ $both$ expressions

i.e.

$10x = 14 + 9x$

Collect Like Terms

$10x - 9x = 14$

$x = 14$

Number of cards they have at that time.

Here, we simply substitute 14 for x in any of the equations.

$y = 10 x$

$y = 10 * 14$

$y = 140$

$y = 14 + 9 x$

$y = 14 + 9 * 14$

$y = 14 + 126$

$y = 140$

4 0

2 years ago

Ben made a model that was 5 3/4 inches tall. Laquisha made a model that was 70 11/12 inches tall. How many times as tall was Laq

tatyana61 [14]

Answer:

Her model is 37 times as tall as Ben's.

Step-by-step explanation:

70 11/12 ÷ 5 3/4

851/12 ÷ 23/4

851/12 x 4/23

37/1 x 1/1 = 37 times as tall

6 0

3 years ago

A boutique handmade umbrella factory currently sells 37500 umbrellas per year at a cost of 7 dollars each. In the previous year

slega [8]

Answer:

$302,500

Step-by-step explanation:

If cost (C) = $7, then Sales (S) = 37,500 units

If cost (C) = $15, then Sales (S) = 17,500 units

The slope of the linear relationship between units sold and cost is:

$m=\frac{37,500-17,500}{7-15}\\m= -2,500$

The linear equation that describes this relationship is:

$s-s_0 =m(c-c_0)\\s-17500 =-2500(c-15)\\s(c)=-2500c + 55,000$

The revenue function is given by:

$R(c) = c*s(c)\\R(c)=-2500c^2 + 55,000c$

The cost at which the derivative of the revenue equals zero is the cost that yields the maximum revenue.

$\frac{d(R(c))}{dc}=0 =-5000c + 55,000\\c=\$11$

The optimal cost is $11, therefore, the maximum revenue is:

$R(11)=-2500*11^2 + 55,000*11\\R(11)=\$ 302,500$

4 0

3 years ago